Template:Loglogistic mean median and mode: Difference between revisions

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(Created page with ' ====Mean, Median and Mode==== The mean of the loglogistic distribution, <math>\overline{T}</math> , is given by: ::<math>\overline{T}={{e}^{\mu }}\Gamma (1+\sigma )\Gamma (1-…')
 
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#REDIRECT [[The_Loglogistic_Distribution]]
====Mean, Median and Mode====
The mean of the loglogistic distribution,  <math>\overline{T}</math> , is given by:
 
::<math>\overline{T}={{e}^{\mu }}\Gamma (1+\sigma )\Gamma (1-\sigma )</math>
 
 
Note that for  <math>\sigma \ge 1,</math>  <math>\overline{T}</math>  does not exist.
 
The median of the loglogistic distribution,  <math>\breve{T}</math> , is given by:
 
::<math>\widehat{T}={{e}^{\mu }}</math>
 
The mode of the loglogistic distribution,  <math>\tilde{T}</math> , if  <math>\sigma <1,</math>  is given by:
 
<math>\overline{T}={{e}^{{\mu+\sigma}ln(\frac{1-\sigma}{1+\sigma})}</math>

Latest revision as of 09:59, 9 August 2012

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